Introduction to Shimura Varieties by École polytechnique fédérale de Lausanne（洛桑联邦理工）

**COURSE DESCRIPTION **
A graduate course on Shimura varieties. The aim is to provide the basic background on Shimura varieties. Some of the topics to be discussed are:

• Hermitian symmetric domains
• Hodge structures
• Shimura data, connected Shimura varieties and Shimura varieties
• Canonical models
• Complex multiplication and special points
• Galois action on special points and connected components
• Shimura varieties of PEL type
• The zeta function of a Shimura variety

LECTURE NOTES
Hermitian symmetric domains
Hodge structures and Shimura data
Locally symmetric varieties
Harish-Chandra embedding
Connected Shimura varieties and Shimura varieties

REFERENCES：
Milne, Introduction to Shimura varieties
Milne, Shimura varieties and moduli
Deligne, Travaux de Shimura
Cornut, A course on Shimura varieties at Jussieu
B. Conrad, A Stanford seminar on Shimura varieties
V. Rotgers, Introductory notes for a seminar in Barcelona
A. Genestier and B.C.Ngo - good notes on PEL Shimura varieties
M. Harris - A course on Shimura varieties in Jussieu
P. Clark - Good notes on Shimura curves